On the main question listing page, if there is indication that the question has an "Accepted Solution", it will help the members. If they are searching, they know this question is solved and if they are contributor, they will know that the particular question doesn't have "Acceptable Solution" yet.

This will save time for both inquirer and contributor.

I understood from answers below that the "Number of Answers" will turn "Yellow" if the question has "Accepted Solution". However, the difference between normal white and yellow is too subtle to miss. In fact, I did not notice until it was pointed out in the answers below. So naturally a casual searcher coming from search engine may miss it too.

Thanks for link, I have one more point, "There should be some indication on the questions page at top" so people know that. For me the difference between white and yellow was subtle that I did not notice until you and Bhuvan pointed out. If this looks correct, Shall I update the main question with this point ?
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Milind ThakkarOct 8 '12 at 12:42

@Milind: hover over the number. The tooltip will say, "one of the answers was accepted as the correct answer". In general, when in doubt, hover over stuff. The site is chock-full of useful tooltips.
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ЯegDwightOct 8 '12 at 12:57

@ЯegDwight: Yes, that may sound right to person acquainted with the site. But from user-friendly point of view, it may not be that simple.
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Milind ThakkarOct 8 '12 at 13:11